53260800 has 240 divisors, whose sum is σ = 187740960. Its totient is φ = 13271040.

The previous prime is 53260799. The next prime is 53260807. The reversal of 53260800 is 806235.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53260807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729564 + ... + 729636.

It is an arithmetic number, because the mean of its divisors is an integer number (782254).

Almost surely, 2^53260800 is an apocalyptic number.

53260800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93870480).

53260800 is an abundant number, since it is smaller than the sum of its proper divisors (134480160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53260800 is a wasteful number, since it uses less digits than its factorization.

53260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 53260800 is about 7297.9997259523. Note that the first 3 decimals coincide. The cubic root of 53260800 is about 376.2436929367.

The spelling of 53260800 in words is "fifty-three million, two hundred sixty thousand, eight hundred".